%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN442-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:40:14 PM UTC 2026
% Result : Unsatisfiable 3.67s 1.15s
% Output : CNFRefutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 107
% Syntax : Number of formulae : 418 ( 2 unt; 0 def)
% Number of atoms : 1721 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2195 ( 892 ~;1303 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 57 ( 56 usr; 53 prp; 0-1 aty)
% Number of functors : 23 ( 23 usr; 23 con; 0-0 aty)
% Number of variables : 254 ( 0 sgn 254 !; 0 ?; 194 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( hskp8
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f22,negated_conjecture,
( ndr1_0
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f27,negated_conjecture,
( ndr1_0
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f32,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f34,negated_conjecture,
( hskp6
| hskp21
| hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
( hskp0
| hskp5
| hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f36,negated_conjecture,
( hskp15
| hskp5
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f40,negated_conjecture,
( c0_1(a150)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f41,negated_conjecture,
( c1_1(a150)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( c3_1(a150)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( c0_1(a143)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( c2_1(a143)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( c3_1(a143)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( c1_1(a137)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( c2_1(a137)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c3_1(a137)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( c2_1(a196)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f53,negated_conjecture,
( c0_1(a179)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( c2_1(a179)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( c3_1(a170)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f57,negated_conjecture,
( c0_1(a162)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( c3_1(a162)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( c0_1(a159)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f61,negated_conjecture,
( c0_1(a151)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( c1_1(a151)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( c3_1(a149)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c2_1(a144)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( c1_1(a140)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( c3_1(a140)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( c0_1(a139)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( c0_1(a138)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( c3_1(a138)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( c0_1(a136)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( c2_1(a136)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( c2_1(a135)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( c3_1(a135)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f75,negated_conjecture,
( c1_1(a131)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( c3_1(a131)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( c1_1(a130)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( c2_1(a130)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( c0_1(a126)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( c0_1(a125)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( c1_1(a125)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f84,negated_conjecture,
( ~ hskp26
| ~ c0_1(a196) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( ~ hskp26
| ~ c1_1(a196) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f92,negated_conjecture,
( ~ hskp22
| ~ c1_1(a179) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ hskp21
| ~ c0_1(a170) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ hskp21
| ~ c2_1(a170) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f97,negated_conjecture,
( ~ hskp19
| ~ c2_1(a162) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ hskp18
| ~ c2_1(a159) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ hskp18
| ~ c3_1(a159) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f102,negated_conjecture,
( ~ hskp16
| ~ c2_1(a151) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ hskp15
| ~ c1_1(a149) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ hskp15
| ~ c2_1(a149) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ hskp14
| ~ c0_1(a145) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp14
| ~ c1_1(a145) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp14
| ~ c3_1(a145) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ hskp13
| ~ c0_1(a144) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ hskp13
| ~ c3_1(a144) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ hskp12
| ~ c0_1(a140) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ hskp11
| ~ c1_1(a139) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ hskp11
| ~ c3_1(a139) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ hskp10
| ~ c1_1(a138) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ hskp9
| ~ c3_1(a136) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ hskp8
| ~ c1_1(a135) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f118,negated_conjecture,
( ~ hskp6
| ~ c0_1(a133) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ hskp6
| ~ c1_1(a133) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ hskp6
| ~ c2_1(a133) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ hskp5
| ~ c2_1(a131) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ hskp4
| ~ c3_1(a130) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ hskp3
| ~ c0_1(a128) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ hskp3
| ~ c2_1(a128) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ hskp3
| ~ c3_1(a128) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ hskp2
| ~ c1_1(a126) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f128,negated_conjecture,
( ~ hskp1
| ~ c3_1(a125) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f131,negated_conjecture,
! [X0] :
( hskp3
| hskp1
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f133,negated_conjecture,
! [X0] :
( hskp6
| hskp4
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f135,negated_conjecture,
! [X0] :
( hskp11
| hskp10
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
fof(f137,negated_conjecture,
! [X0] :
( hskp13
| hskp28
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f138,negated_conjecture,
! [X0] :
( hskp3
| hskp14
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f143,negated_conjecture,
! [X0] :
( hskp5
| hskp4
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f147,negated_conjecture,
! [X0] :
( hskp15
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
fof(f148,negated_conjecture,
! [X0] :
( hskp12
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f154,negated_conjecture,
! [X0] :
( hskp13
| hskp19
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
fof(f157,negated_conjecture,
! [X0] :
( hskp26
| hskp27
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f158,negated_conjecture,
! [X0] :
( hskp12
| hskp18
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f160,negated_conjecture,
! [X0,X1] :
( hskp9
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f161,negated_conjecture,
! [X0,X1] :
( hskp27
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f162,negated_conjecture,
! [X0,X1] :
( hskp3
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
fof(f163,negated_conjecture,
! [X0,X1] :
( hskp16
| c3_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f164,negated_conjecture,
! [X0,X1] :
( hskp2
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
fof(f165,negated_conjecture,
! [X0,X1] :
( hskp6
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( hskp29
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( hskp19
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( hskp8
| c3_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f172,negated_conjecture,
! [X0,X1] :
( hskp16
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f174,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f175,negated_conjecture,
! [X0,X1] :
( hskp18
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( hskp22
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f177,negated_conjecture,
! [X0,X1] :
( hskp13
| c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f178,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( hskp1
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X1)
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f181,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f182,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
fof(f183,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c2_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f184,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c2_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
tcf(c_233,negated_conjecture,
( hskp8
| hskp11 ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_254,negated_conjecture,
( ndr1_0
| ~ hskp10 ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_259,negated_conjecture,
( ndr1_0
| ~ hskp5 ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_264,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_266,negated_conjecture,
( hskp6
| hskp9
| hskp21 ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_267,negated_conjecture,
( hskp0
| hskp5
| hskp10 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_268,negated_conjecture,
( hskp5
| hskp12
| hskp15 ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_272,negated_conjecture,
( c0_1(a150)
| ~ hskp29 ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_273,negated_conjecture,
( c1_1(a150)
| ~ hskp29 ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_274,negated_conjecture,
( c3_1(a150)
| ~ hskp29 ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_275,negated_conjecture,
( c0_1(a143)
| ~ hskp28 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_276,negated_conjecture,
( c2_1(a143)
| ~ hskp28 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_277,negated_conjecture,
( c3_1(a143)
| ~ hskp28 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_278,negated_conjecture,
( c1_1(a137)
| ~ hskp27 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_279,negated_conjecture,
( c2_1(a137)
| ~ hskp27 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_280,negated_conjecture,
( c3_1(a137)
| ~ hskp27 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_281,negated_conjecture,
( c2_1(a196)
| ~ hskp26 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_285,negated_conjecture,
( c0_1(a179)
| ~ hskp22 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_286,negated_conjecture,
( c2_1(a179)
| ~ hskp22 ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_287,negated_conjecture,
( c3_1(a170)
| ~ hskp21 ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_289,negated_conjecture,
( c0_1(a162)
| ~ hskp19 ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_290,negated_conjecture,
( c3_1(a162)
| ~ hskp19 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_291,negated_conjecture,
( c0_1(a159)
| ~ hskp18 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_293,negated_conjecture,
( c0_1(a151)
| ~ hskp16 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_294,negated_conjecture,
( c1_1(a151)
| ~ hskp16 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_295,negated_conjecture,
( c3_1(a149)
| ~ hskp15 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_296,negated_conjecture,
( c2_1(a144)
| ~ hskp13 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_297,negated_conjecture,
( c1_1(a140)
| ~ hskp12 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_298,negated_conjecture,
( c3_1(a140)
| ~ hskp12 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_299,negated_conjecture,
( c0_1(a139)
| ~ hskp11 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_300,negated_conjecture,
( c0_1(a138)
| ~ hskp10 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_301,negated_conjecture,
( c3_1(a138)
| ~ hskp10 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_302,negated_conjecture,
( c0_1(a136)
| ~ hskp9 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_303,negated_conjecture,
( c2_1(a136)
| ~ hskp9 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_304,negated_conjecture,
( c2_1(a135)
| ~ hskp8 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_305,negated_conjecture,
( c3_1(a135)
| ~ hskp8 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_307,negated_conjecture,
( c1_1(a131)
| ~ hskp5 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_308,negated_conjecture,
( c3_1(a131)
| ~ hskp5 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_309,negated_conjecture,
( c1_1(a130)
| ~ hskp4 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_310,negated_conjecture,
( c2_1(a130)
| ~ hskp4 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_311,negated_conjecture,
( c0_1(a126)
| ~ hskp2 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_312,negated_conjecture,
( c0_1(a125)
| ~ hskp1 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_313,negated_conjecture,
( c1_1(a125)
| ~ hskp1 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_316,negated_conjecture,
( ~ hskp26
| ~ c0_1(a196) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_317,negated_conjecture,
( ~ hskp26
| ~ c1_1(a196) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_324,negated_conjecture,
( ~ hskp22
| ~ c1_1(a179) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_325,negated_conjecture,
( ~ hskp21
| ~ c0_1(a170) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_326,negated_conjecture,
( ~ hskp21
| ~ c2_1(a170) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_329,negated_conjecture,
( ~ hskp19
| ~ c2_1(a162) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_330,negated_conjecture,
( ~ hskp18
| ~ c2_1(a159) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_331,negated_conjecture,
( ~ hskp18
| ~ c3_1(a159) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_334,negated_conjecture,
( ~ hskp16
| ~ c2_1(a151) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_335,negated_conjecture,
( ~ hskp15
| ~ c1_1(a149) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_336,negated_conjecture,
( ~ hskp15
| ~ c2_1(a149) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_337,negated_conjecture,
( ~ hskp14
| ~ c0_1(a145) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_338,negated_conjecture,
( ~ hskp14
| ~ c1_1(a145) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_339,negated_conjecture,
( ~ hskp14
| ~ c3_1(a145) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_340,negated_conjecture,
( ~ hskp13
| ~ c0_1(a144) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_341,negated_conjecture,
( ~ hskp13
| ~ c3_1(a144) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_342,negated_conjecture,
( ~ hskp12
| ~ c0_1(a140) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_343,negated_conjecture,
( ~ hskp11
| ~ c1_1(a139) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_344,negated_conjecture,
( ~ hskp11
| ~ c3_1(a139) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_345,negated_conjecture,
( ~ hskp10
| ~ c1_1(a138) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_346,negated_conjecture,
( ~ hskp9
| ~ c3_1(a136) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_347,negated_conjecture,
( ~ hskp8
| ~ c1_1(a135) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_350,negated_conjecture,
( ~ hskp6
| ~ c0_1(a133) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_351,negated_conjecture,
( ~ hskp6
| ~ c1_1(a133) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_352,negated_conjecture,
( ~ hskp6
| ~ c2_1(a133) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_353,negated_conjecture,
( ~ hskp5
| ~ c2_1(a131) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_354,negated_conjecture,
( ~ hskp4
| ~ c3_1(a130) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_355,negated_conjecture,
( ~ hskp3
| ~ c0_1(a128) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_356,negated_conjecture,
( ~ hskp3
| ~ c2_1(a128) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_357,negated_conjecture,
( ~ hskp3
| ~ c3_1(a128) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_358,negated_conjecture,
( ~ hskp2
| ~ c1_1(a126) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_360,negated_conjecture,
( ~ hskp1
| ~ c3_1(a125) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_363,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp3
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_365,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp6
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_367,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp11
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_369,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp28
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_370,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp14
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_375,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp5
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_379,negated_conjecture,
! [X0: $i] :
( hskp15
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_380,negated_conjecture,
! [X0: $i] :
( hskp12
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_386,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp19
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_389,negated_conjecture,
! [X0: $i] :
( hskp26
| hskp27
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_390,negated_conjecture,
! [X0: $i] :
( hskp12
| hskp18
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_392,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_393,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_394,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X0)
| c2_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_395,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X1)
| c3_1(X0)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_396,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_397,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_398,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_400,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_401,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_404,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_406,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_407,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp18
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_408,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp22
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_409,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_410,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_411,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_412,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_413,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_414,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_415,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_416,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X0)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_450,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_264,c_267,c_264,c_259,c_254]) ).
tcf(c_515,plain,
! [X0: $i] :
( hskp12
| c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_380,c_267,c_264,c_259,c_254,c_380]) ).
tcf(c_516,negated_conjecture,
! [X0: $i] :
( hskp12
| c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_515]) ).
tcf(c_518,plain,
! [X0: $i] :
( hskp15
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_379,c_267,c_264,c_259,c_254,c_379]) ).
tcf(c_519,negated_conjecture,
! [X0: $i] :
( hskp15
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_518]) ).
tcf(c_530,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp5
| c3_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_375,c_267,c_264,c_259,c_254,c_375]) ).
tcf(c_545,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp14
| c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_370,c_267,c_264,c_259,c_254,c_370]) ).
tcf(c_548,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp28
| c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_369,c_267,c_264,c_259,c_254,c_369]) ).
tcf(c_554,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp11
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_367,c_267,c_264,c_259,c_254,c_367]) ).
tcf(c_560,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp6
| c1_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_365,c_267,c_264,c_259,c_254,c_365]) ).
tcf(c_566,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp3
| c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_363,c_267,c_264,c_259,c_254,c_363]) ).
tcf(c_584,plain,
! [X0: $i] :
( hskp12
| hskp18
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_390,c_267,c_264,c_259,c_254,c_390]) ).
tcf(c_585,negated_conjecture,
! [X0: $i] :
( hskp12
| hskp18
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_584]) ).
tcf(c_587,plain,
! [X0: $i] :
( hskp26
| hskp27
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_389,c_267,c_264,c_259,c_254,c_389]) ).
tcf(c_588,negated_conjecture,
! [X0: $i] :
( hskp26
| hskp27
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_587]) ).
tcf(c_596,plain,
! [X0: $i] :
( hskp13
| hskp19
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_386,c_267,c_264,c_259,c_254,c_386]) ).
tcf(c_597,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp19
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_596]) ).
tcf(c_599,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_393,c_267,c_264,c_259,c_254,c_393]) ).
tcf(c_601,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_392,c_267,c_264,c_259,c_254,c_392]) ).
tcf(c_605,plain,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X1)
| c3_1(X0)
| c2_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_395,c_267,c_264,c_259,c_254,c_395]) ).
tcf(c_606,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X1)
| c3_1(X0)
| c2_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_605]) ).
tcf(c_607,plain,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X0)
| c2_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_394,c_267,c_264,c_259,c_254,c_394]) ).
tcf(c_608,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X0)
| c2_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_607]) ).
tcf(c_611,plain,
! [X0: $i,X1: $i] :
( hskp8
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_401,c_267,c_264,c_259,c_254,c_401]) ).
tcf(c_612,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_611]) ).
tcf(c_613,plain,
! [X0: $i,X1: $i] :
( hskp19
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_400,c_267,c_264,c_259,c_254,c_400]) ).
tcf(c_614,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_613]) ).
tcf(c_617,plain,
! [X0: $i,X1: $i] :
( hskp29
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_398,c_267,c_264,c_259,c_254,c_398]) ).
tcf(c_618,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_617]) ).
tcf(c_620,plain,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_397,c_267,c_264,c_259,c_254,c_397]) ).
tcf(c_621,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_620]) ).
tcf(c_622,plain,
! [X0: $i,X1: $i] :
( hskp2
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_396,c_267,c_264,c_259,c_254,c_396]) ).
tcf(c_623,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_622]) ).
tcf(c_627,plain,
! [X0: $i,X1: $i] :
( hskp16
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_404,c_267,c_264,c_259,c_254,c_404]) ).
tcf(c_628,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_627]) ).
tcf(c_631,plain,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_409,c_267,c_264,c_259,c_254,c_409]) ).
tcf(c_632,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_631]) ).
tcf(c_634,plain,
! [X0: $i,X1: $i] :
( hskp22
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_408,c_267,c_264,c_259,c_254,c_408]) ).
tcf(c_635,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp22
| c2_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_634]) ).
tcf(c_636,plain,
! [X0: $i,X1: $i] :
( hskp18
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_407,c_267,c_264,c_259,c_254,c_407]) ).
tcf(c_637,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp18
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_636]) ).
tcf(c_638,plain,
! [X0: $i,X1: $i] :
( hskp1
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_411,c_267,c_264,c_259,c_254,c_411]) ).
tcf(c_639,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_638]) ).
tcf(c_641,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_406,c_267,c_264,c_259,c_254,c_406]) ).
tcf(c_643,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_410,c_267,c_264,c_259,c_254,c_410]) ).
tcf(c_644,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_643]) ).
tcf(c_645,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_413,c_267,c_264,c_259,c_254,c_413]) ).
tcf(c_646,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_645]) ).
tcf(c_647,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c1_1(X2)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_412,c_412,c_450]) ).
tcf(c_648,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c1_1(X2)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_647]) ).
tcf(c_649,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_414,c_267,c_264,c_259,c_254,c_414]) ).
tcf(c_650,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c0_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_649]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X0)
| c1_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_416,c_267,c_264,c_259,c_254,c_416]) ).
tcf(c_652,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X0)
| c1_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_651]) ).
tcf(c_653,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X0)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_415,c_267,c_264,c_259,c_254,c_415]) ).
tcf(c_654,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_653]) ).
tcf(c_3151,plain,
( hskp6
| hskp9
| ~ c2_1(a170) ),
inference(resolution,[status(thm)],[c_266,c_326]) ).
tcf(c_3161,plain,
( hskp6
| hskp9
| ~ c0_1(a170) ),
inference(resolution,[status(thm)],[c_266,c_325]) ).
tcf(c_3171,plain,
( hskp6
| hskp9
| c3_1(a170) ),
inference(resolution,[status(thm)],[c_266,c_287]) ).
tcf(c_5077,plain,
( hskp11
| ~ c1_1(a135) ),
inference(resolution,[status(thm)],[c_233,c_347]) ).
tcf(c_5084,plain,
( hskp11
| c3_1(a135) ),
inference(resolution,[status(thm)],[c_233,c_305]) ).
tcf(c_5091,plain,
( hskp11
| c2_1(a135) ),
inference(resolution,[status(thm)],[c_233,c_304]) ).
tcf(c_5572,plain,
( hskp12
| hskp15
| ~ c2_1(a131) ),
inference(resolution,[status(thm)],[c_268,c_353]) ).
tcf(c_5582,plain,
( hskp12
| hskp15
| c3_1(a131) ),
inference(resolution,[status(thm)],[c_268,c_308]) ).
tcf(c_5592,plain,
( hskp12
| hskp15
| c1_1(a131) ),
inference(resolution,[status(thm)],[c_268,c_307]) ).
tcf(c_14624,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_654]) ).
tcf(c_14625,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ~ c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_654]) ).
tcf(c_14626,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_654]) ).
tcf(c_14627,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_654]) ).
tcf(c_14628,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_652]) ).
tcf(c_14629,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_652]) ).
tcf(c_14630,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_652]) ).
tcf(c_14631,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_650]) ).
tcf(c_14632,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_650]) ).
tcf(c_14633,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_650]) ).
tcf(c_14634,negated_conjecture,
( iPr_def_17
| iPr_def_16
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_650]) ).
tcf(c_14635,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_648]) ).
tcf(c_14636,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_648]) ).
tcf(c_14637,negated_conjecture,
( iPr_def_19
| iPr_def_18
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_648]) ).
tcf(c_14638,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_646]) ).
tcf(c_14639,negated_conjecture,
( iPr_def_20
| iPr_def_17
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_646]) ).
tcf(c_14640,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_644]) ).
tcf(c_14641,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_644]) ).
tcf(c_14642,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_23
| ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_644]) ).
tcf(c_14643,negated_conjecture,
( iPr_def_23
| iPr_def_22
| iPr_def_21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_644]) ).
tcf(c_14644,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_641]) ).
tcf(c_14645,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_641]) ).
tcf(c_14646,negated_conjecture,
( iPr_def_25
| iPr_def_24
| iPr_def_21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_641]) ).
tcf(c_14647,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_639]) ).
tcf(c_14648,negated_conjecture,
( iPr_def_26
| iPr_def_10
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_639]) ).
tcf(c_14649,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_637]) ).
tcf(c_14650,negated_conjecture,
( iPr_def_27
| iPr_def_26
| hskp18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_637]) ).
tcf(c_14651,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_635]) ).
tcf(c_14652,negated_conjecture,
( iPr_def_28
| iPr_def_12
| hskp22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_635]) ).
tcf(c_14653,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| ~ c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_632]) ).
tcf(c_14654,negated_conjecture,
( iPr_def_29
| iPr_def_28
| hskp13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_632]) ).
tcf(c_14656,negated_conjecture,
( iPr_def_26
| iPr_def_25
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_628]) ).
tcf(c_14659,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_623]) ).
tcf(c_14660,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_623]) ).
tcf(c_14661,negated_conjecture,
( iPr_def_32
| iPr_def_31
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_623]) ).
tcf(c_14662,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_621]) ).
tcf(c_14663,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_621]) ).
tcf(c_14664,negated_conjecture,
( iPr_def_34
| iPr_def_33
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_621]) ).
tcf(c_14665,negated_conjecture,
( iPr_def_27
| iPr_def_18
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_618]) ).
tcf(c_14668,negated_conjecture,
( iPr_def_23
| iPr_def_11
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_614]) ).
tcf(c_14669,negated_conjecture,
( iPr_def_13
| iPr_def_12
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_612]) ).
tcf(c_14672,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_608]) ).
tcf(c_14673,negated_conjecture,
( iPr_def_37
| iPr_def_13
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_608]) ).
tcf(c_14674,negated_conjecture,
( iPr_def_20
| iPr_def_18
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_606]) ).
tcf(c_14676,negated_conjecture,
( iPr_def_37
| iPr_def_22
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_601]) ).
tcf(c_14677,negated_conjecture,
( iPr_def_37
| iPr_def_22
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_599]) ).
tcf(c_14678,negated_conjecture,
( iPr_def_28
| hskp13
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_597]) ).
tcf(c_14681,negated_conjecture,
( iPr_def_26
| hskp26
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_588]) ).
tcf(c_14682,negated_conjecture,
( iPr_def_10
| hskp12
| hskp18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_585]) ).
tcf(c_14688,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_566]) ).
tcf(c_14689,negated_conjecture,
( iPr_def_38
| hskp1
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_566]) ).
tcf(c_14691,negated_conjecture,
( iPr_def_31
| hskp4
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_560]) ).
tcf(c_14693,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_39
| c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_554]) ).
tcf(c_14694,negated_conjecture,
( iPr_def_39
| hskp10
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_554]) ).
tcf(c_14696,negated_conjecture,
( iPr_def_37
| hskp13
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_548]) ).
tcf(c_14697,negated_conjecture,
( iPr_def_37
| hskp3
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_545]) ).
tcf(c_14702,negated_conjecture,
( iPr_def_11
| hskp4
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_530]) ).
tcf(c_14741,plain,
( hskp12
| c3_1(a151)
| ~ c1_1(a151)
| ~ c0_1(a151) ),
inference(instantiation,[status(thm)],[c_516]) ).
tcf(c_14744,plain,
( hskp12
| c3_1(a130)
| ~ c1_1(a130)
| ~ c0_1(a130) ),
inference(instantiation,[status(thm)],[c_516]) ).
tcf(c_14745,plain,
( hskp12
| c3_1(a125)
| ~ c1_1(a125)
| ~ c0_1(a125) ),
inference(instantiation,[status(thm)],[c_516]) ).
tcf(c_14746,plain,
( hskp15
| c2_1(a150)
| ~ c1_1(a150)
| ~ c0_1(a150) ),
inference(instantiation,[status(thm)],[c_519]) ).
tcf(c_14752,plain,
( hskp15
| c2_1(a131)
| ~ c1_1(a131)
| ~ c0_1(a131) ),
inference(instantiation,[status(thm)],[c_519]) ).
tcf(c_14754,plain,
( hskp15
| c2_1(a125)
| ~ c1_1(a125)
| ~ c0_1(a125) ),
inference(instantiation,[status(thm)],[c_519]) ).
tcf(c_14756,plain,
( ~ iPr_def_10
| ~ c3_1(a137)
| ~ c2_1(a137)
| ~ c1_1(a137) ),
inference(instantiation,[status(thm)],[c_14624]) ).
tcf(c_14767,plain,
( c3_1(a144)
| c1_1(a144)
| ~ iPr_def_13
| ~ c2_1(a144) ),
inference(instantiation,[status(thm)],[c_14628]) ).
tcf(c_14768,plain,
( c3_1(a136)
| c1_1(a136)
| ~ iPr_def_13
| ~ c2_1(a136) ),
inference(instantiation,[status(thm)],[c_14628]) ).
tcf(c_14787,plain,
( c2_1(a133)
| c1_1(a133)
| c0_1(a133)
| ~ iPr_def_21 ),
inference(instantiation,[status(thm)],[c_14640]) ).
tcf(c_14789,plain,
( c2_1(a128)
| c1_1(a128)
| c0_1(a128)
| ~ iPr_def_21 ),
inference(instantiation,[status(thm)],[c_14640]) ).
tcf(c_14791,plain,
( ~ iPr_def_10
| ~ c3_1(a140)
| ~ c2_1(a140)
| ~ c1_1(a140) ),
inference(instantiation,[status(thm)],[c_14624]) ).
tcf(c_14795,plain,
( c2_1(a149)
| c1_1(a149)
| ~ iPr_def_16
| ~ c3_1(a149) ),
inference(instantiation,[status(thm)],[c_14632]) ).
tcf(c_14798,plain,
( c3_1(a179)
| c1_1(a179)
| ~ iPr_def_11
| ~ c0_1(a179) ),
inference(instantiation,[status(thm)],[c_14625]) ).
tcf(c_14803,plain,
( c3_1(a136)
| c1_1(a136)
| ~ iPr_def_11
| ~ c0_1(a136) ),
inference(instantiation,[status(thm)],[c_14625]) ).
tcf(c_14804,plain,
( c3_1(a126)
| c1_1(a126)
| ~ iPr_def_11
| ~ c0_1(a126) ),
inference(instantiation,[status(thm)],[c_14625]) ).
tcf(c_14809,plain,
( c3_1(a144)
| c0_1(a144)
| ~ iPr_def_18
| ~ c2_1(a144) ),
inference(instantiation,[status(thm)],[c_14635]) ).
tcf(c_14810,plain,
( c3_1(a136)
| c0_1(a136)
| ~ iPr_def_18
| ~ c2_1(a136) ),
inference(instantiation,[status(thm)],[c_14635]) ).
tcf(c_14812,plain,
( c3_1(a130)
| c0_1(a130)
| ~ iPr_def_18
| ~ c2_1(a130) ),
inference(instantiation,[status(thm)],[c_14635]) ).
tcf(c_14840,plain,
( hskp12
| c3_1(a136)
| ~ c1_1(a136)
| ~ c0_1(a136) ),
inference(instantiation,[status(thm)],[c_516]) ).
tcf(c_14886,plain,
( c3_1(a130)
| c0_1(a130)
| ~ iPr_def_33
| ~ c1_1(a130) ),
inference(instantiation,[status(thm)],[c_14662]) ).
tcf(c_14888,plain,
( c3_1(a144)
| c0_1(a144)
| ~ iPr_def_33
| ~ c1_1(a144) ),
inference(instantiation,[status(thm)],[c_14662]) ).
tcf(c_14894,plain,
( c3_1(a128)
| c0_1(a128)
| ~ iPr_def_33
| ~ c1_1(a128) ),
inference(instantiation,[status(thm)],[c_14662]) ).
tcf(c_14909,plain,
( c2_1(a162)
| ~ iPr_def_12
| ~ c3_1(a162)
| ~ c0_1(a162) ),
inference(instantiation,[status(thm)],[c_14626]) ).
tcf(c_14918,plain,
( c1_1(a143)
| ~ iPr_def_23
| ~ c3_1(a143)
| ~ c0_1(a143) ),
inference(instantiation,[status(thm)],[c_14642]) ).
tcf(c_14923,plain,
( c1_1(a138)
| ~ iPr_def_23
| ~ c3_1(a138)
| ~ c0_1(a138) ),
inference(instantiation,[status(thm)],[c_14642]) ).
tcf(c_14925,plain,
( c1_1(a126)
| ~ iPr_def_23
| ~ c3_1(a126)
| ~ c0_1(a126) ),
inference(instantiation,[status(thm)],[c_14642]) ).
tcf(c_14928,plain,
( ~ iPr_def_26
| ~ c3_1(a150)
| ~ c2_1(a150)
| ~ c0_1(a150) ),
inference(instantiation,[status(thm)],[c_14647]) ).
tcf(c_14929,plain,
( ~ iPr_def_26
| ~ c3_1(a143)
| ~ c2_1(a143)
| ~ c0_1(a143) ),
inference(instantiation,[status(thm)],[c_14647]) ).
tcf(c_14930,plain,
( ~ iPr_def_26
| ~ c3_1(a179)
| ~ c2_1(a179)
| ~ c0_1(a179) ),
inference(instantiation,[status(thm)],[c_14647]) ).
tcf(c_14960,plain,
( ~ iPr_def_28
| ~ c2_1(a143)
| ~ c1_1(a143)
| ~ c0_1(a143) ),
inference(instantiation,[status(thm)],[c_14651]) ).
tcf(c_14966,plain,
( ~ iPr_def_28
| ~ c2_1(a136)
| ~ c1_1(a136)
| ~ c0_1(a136) ),
inference(instantiation,[status(thm)],[c_14651]) ).
tcf(c_14968,plain,
( ~ iPr_def_28
| ~ c2_1(a125)
| ~ c1_1(a125)
| ~ c0_1(a125) ),
inference(instantiation,[status(thm)],[c_14651]) ).
tcf(c_14986,plain,
( c3_1(a133)
| c2_1(a133)
| c1_1(a133)
| ~ iPr_def_19 ),
inference(instantiation,[status(thm)],[c_14636]) ).
tcf(c_15001,plain,
( c1_1(a135)
| c0_1(a135)
| ~ iPr_def_31
| ~ c3_1(a135) ),
inference(instantiation,[status(thm)],[c_14659]) ).
tcf(c_15013,plain,
( ~ iPr_def_28
| ~ c2_1(a130)
| ~ c1_1(a130)
| ~ c0_1(a130) ),
inference(instantiation,[status(thm)],[c_14651]) ).
tcf(c_15027,plain,
( c3_1(a145)
| c2_1(a145)
| c1_1(a145)
| ~ iPr_def_19 ),
inference(instantiation,[status(thm)],[c_14636]) ).
tcf(c_15029,plain,
( c3_1(a145)
| c0_1(a145)
| ~ iPr_def_18
| ~ c2_1(a145) ),
inference(instantiation,[status(thm)],[c_14635]) ).
tcf(c_15030,plain,
( c3_1(a145)
| c1_1(a145)
| ~ iPr_def_13
| ~ c2_1(a145) ),
inference(instantiation,[status(thm)],[c_14628]) ).
tcf(c_15137,plain,
( c3_1(a136)
| ~ iPr_def_29
| ~ c1_1(a136)
| ~ c0_1(a136) ),
inference(instantiation,[status(thm)],[c_14653]) ).
tcf(c_15139,plain,
( c3_1(a130)
| ~ iPr_def_29
| ~ c1_1(a130)
| ~ c0_1(a130) ),
inference(instantiation,[status(thm)],[c_14653]) ).
tcf(c_15141,plain,
( c3_1(a125)
| ~ iPr_def_29
| ~ c1_1(a125)
| ~ c0_1(a125) ),
inference(instantiation,[status(thm)],[c_14653]) ).
tcf(c_15155,plain,
( c2_1(a131)
| ~ iPr_def_14
| ~ c1_1(a131)
| ~ c0_1(a131) ),
inference(instantiation,[status(thm)],[c_14629]) ).
tcf(c_15167,plain,
( c0_1(a140)
| ~ iPr_def_27
| ~ c2_1(a140)
| ~ c1_1(a140) ),
inference(instantiation,[status(thm)],[c_14649]) ).
tcf(c_15185,plain,
( c3_1(a139)
| c1_1(a139)
| ~ iPr_def_11
| ~ c0_1(a139) ),
inference(instantiation,[status(thm)],[c_14625]) ).
tcf(c_15188,plain,
( c3_1(a139)
| c2_1(a139)
| c1_1(a139)
| ~ iPr_def_19 ),
inference(instantiation,[status(thm)],[c_14636]) ).
tcf(c_15193,plain,
( c3_1(a139)
| c1_1(a139)
| ~ iPr_def_13
| ~ c2_1(a139) ),
inference(instantiation,[status(thm)],[c_14628]) ).
tcf(c_15197,plain,
( c2_1(a149)
| ~ iPr_def_12
| ~ c3_1(a149)
| ~ c0_1(a149) ),
inference(instantiation,[status(thm)],[c_14626]) ).
tcf(c_15198,plain,
( c2_1(a131)
| ~ iPr_def_12
| ~ c3_1(a131)
| ~ c0_1(a131) ),
inference(instantiation,[status(thm)],[c_14626]) ).
tcf(c_15205,plain,
( c3_1(a128)
| c2_1(a128)
| ~ iPr_def_20
| ~ c1_1(a128) ),
inference(instantiation,[status(thm)],[c_14638]) ).
tcf(c_15211,plain,
( c0_1(a140)
| ~ iPr_def_34
| ~ c3_1(a140)
| ~ c1_1(a140) ),
inference(instantiation,[status(thm)],[c_14663]) ).
tcf(c_15274,plain,
( c2_1(a170)
| c0_1(a170)
| ~ iPr_def_37
| ~ c3_1(a170) ),
inference(instantiation,[status(thm)],[c_14672]) ).
tcf(c_15276,plain,
( c2_1(a149)
| c0_1(a149)
| ~ iPr_def_37
| ~ c3_1(a149) ),
inference(instantiation,[status(thm)],[c_14672]) ).
tcf(c_15277,plain,
( c2_1(a131)
| c0_1(a131)
| ~ iPr_def_37
| ~ c3_1(a131) ),
inference(instantiation,[status(thm)],[c_14672]) ).
tcf(c_15309,plain,
( c2_1(a131)
| ~ iPr_def_17
| ~ c3_1(a131)
| ~ c1_1(a131) ),
inference(instantiation,[status(thm)],[c_14633]) ).
tcf(c_15319,plain,
( c2_1(a149)
| c1_1(a149)
| ~ iPr_def_25
| ~ c0_1(a149) ),
inference(instantiation,[status(thm)],[c_14645]) ).
tcf(c_15331,plain,
( c1_1(a196)
| c0_1(a196)
| ~ iPr_def_38
| ~ c2_1(a196) ),
inference(instantiation,[status(thm)],[c_14688]) ).
tcf(c_15341,plain,
( c2_1(a150)
| ~ iPr_def_17
| ~ c3_1(a150)
| ~ c1_1(a150) ),
inference(instantiation,[status(thm)],[c_14633]) ).
tcf(c_15418,plain,
( c2_1(a140)
| ~ iPr_def_17
| ~ c3_1(a140)
| ~ c1_1(a140) ),
inference(instantiation,[status(thm)],[c_14633]) ).
tcf(c_15419,plain,
( c2_1(a140)
| c0_1(a140)
| ~ iPr_def_37
| ~ c3_1(a140) ),
inference(instantiation,[status(thm)],[c_14672]) ).
tcf(c_15588,plain,
( c3_1(a128)
| c1_1(a128)
| c0_1(a128)
| ~ iPr_def_24 ),
inference(instantiation,[status(thm)],[c_14644]) ).
tcf(c_15589,plain,
( c3_1(a128)
| c2_1(a128)
| c1_1(a128)
| ~ iPr_def_19 ),
inference(instantiation,[status(thm)],[c_14636]) ).
tcf(c_15598,plain,
( c3_1(a128)
| c2_1(a128)
| c0_1(a128)
| ~ iPr_def_22 ),
inference(instantiation,[status(thm)],[c_14641]) ).
tcf(c_15608,plain,
( c0_1(a196)
| ~ iPr_def_15
| ~ c3_1(a196)
| ~ c2_1(a196) ),
inference(instantiation,[status(thm)],[c_14631]) ).
tcf(c_15612,plain,
( c0_1(a140)
| ~ iPr_def_15
| ~ c3_1(a140)
| ~ c2_1(a140) ),
inference(instantiation,[status(thm)],[c_14631]) ).
tcf(c_15748,plain,
( c3_1(a196)
| c1_1(a196)
| c0_1(a196)
| ~ iPr_def_24 ),
inference(instantiation,[status(thm)],[c_14644]) ).
tcf(c_15754,plain,
( c3_1(a196)
| c0_1(a196)
| ~ iPr_def_18
| ~ c2_1(a196) ),
inference(instantiation,[status(thm)],[c_14635]) ).
tcf(c_15878,plain,
( c2_1(a133)
| c0_1(a133)
| ~ iPr_def_37
| ~ c3_1(a133) ),
inference(instantiation,[status(thm)],[c_14672]) ).
tcf(c_15887,plain,
( c1_1(a135)
| ~ iPr_def_23
| ~ c3_1(a135)
| ~ c0_1(a135) ),
inference(instantiation,[status(thm)],[c_14642]) ).
tcf(c_15895,plain,
( ~ iPr_def_26
| ~ c3_1(a135)
| ~ c2_1(a135)
| ~ c0_1(a135) ),
inference(instantiation,[status(thm)],[c_14647]) ).
tcf(c_15922,plain,
( c1_1(a135)
| c0_1(a135)
| ~ iPr_def_38
| ~ c2_1(a135) ),
inference(instantiation,[status(thm)],[c_14688]) ).
tcf(c_15979,plain,
( c3_1(a179)
| c1_1(a179)
| ~ iPr_def_13
| ~ c2_1(a179) ),
inference(instantiation,[status(thm)],[c_14628]) ).
tcf(c_15980,plain,
( c3_1(a133)
| c2_1(a133)
| c0_1(a133)
| ~ iPr_def_22 ),
inference(instantiation,[status(thm)],[c_14641]) ).
tcf(c_15981,plain,
( c3_1(a133)
| c1_1(a133)
| c0_1(a133)
| ~ iPr_def_24 ),
inference(instantiation,[status(thm)],[c_14644]) ).
tcf(c_16009,plain,
( c3_1(a145)
| c2_1(a145)
| c0_1(a145)
| ~ iPr_def_22 ),
inference(instantiation,[status(thm)],[c_14641]) ).
tcf(c_16041,plain,
( c1_1(a135)
| ~ iPr_def_32
| ~ c3_1(a135)
| ~ c2_1(a135) ),
inference(instantiation,[status(thm)],[c_14660]) ).
tcf(c_16072,plain,
( c2_1(a151)
| ~ iPr_def_17
| ~ c3_1(a151)
| ~ c1_1(a151) ),
inference(instantiation,[status(thm)],[c_14633]) ).
tcf(c_16074,plain,
( c3_1(a151)
| c2_1(a151)
| ~ iPr_def_20
| ~ c1_1(a151) ),
inference(instantiation,[status(thm)],[c_14638]) ).
tcf(c_16101,plain,
( c2_1(a128)
| c0_1(a128)
| ~ iPr_def_39
| ~ c1_1(a128) ),
inference(instantiation,[status(thm)],[c_14693]) ).
tcf(c_16153,plain,
( c2_1(a159)
| ~ iPr_def_14
| ~ c1_1(a159)
| ~ c0_1(a159) ),
inference(instantiation,[status(thm)],[c_14629]) ).
tcf(c_16158,plain,
( c3_1(a159)
| c2_1(a159)
| c1_1(a159)
| ~ iPr_def_19 ),
inference(instantiation,[status(thm)],[c_14636]) ).
tcf(c_16260,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16158,c_16153,c_16101,c_16072,c_16074,c_16041,c_16009,c_15980,c_15981,c_15979,c_15922,c_15895,c_15887,c_15878,c_15748,c_15754,c_15612,c_15608,c_15598,c_15588,c_15589,c_15418,c_15419,c_15341,c_15331,c_15319,c_15309,c_15277,c_15276,c_15274,c_15211,c_15205,c_15198,c_15197,c_15193,c_15185,c_15188,c_15167,c_15155,c_15141,c_15139,c_15137,c_15029,c_15030,c_15027,c_15013,c_15001,c_14986,c_14968,c_14966,c_14960,c_14930,c_14929,c_14928,c_14925,c_14923,c_14918,c_14909,c_14894,c_14888,c_14886,c_14840,c_14812,c_14810,c_14809,c_14804,c_14803,c_14798,c_14795,c_14791,c_14789,c_14787,c_14768,c_14767,c_14756,c_14754,c_14752,c_14746,c_14745,c_14744,c_14741,c_14702,c_14697,c_14696,c_14694,c_14691,c_14689,c_14682,c_14681,c_14678,c_14677,c_14676,c_14674,c_14673,c_14669,c_14668,c_14665,c_14664,c_14661,c_14656,c_14654,c_14652,c_14650,c_14648,c_14646,c_14643,c_14639,c_14637,c_14634,c_14630,c_14627,c_5592,c_5582,c_5572,c_5091,c_5084,c_5077,c_3171,c_3161,c_3151,c_316,c_317,c_324,c_329,c_330,c_331,c_334,c_335,c_336,c_337,c_338,c_339,c_340,c_341,c_342,c_343,c_344,c_345,c_346,c_347,c_350,c_351,c_352,c_353,c_354,c_355,c_356,c_357,c_358,c_360,c_272,c_273,c_274,c_275,c_276,c_277,c_278,c_279,c_280,c_281,c_285,c_286,c_289,c_290,c_291,c_293,c_294,c_295,c_296,c_297,c_298,c_299,c_300,c_301,c_302,c_303,c_304,c_305,c_307,c_308,c_309,c_310,c_311,c_312,c_313]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN442-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 01:12:33 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running EPR theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 3.67/1.15 % SZS status Started for theBenchmark.p
% 3.67/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.67/1.15
% 3.67/1.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.67/1.15
% 3.67/1.15 % ------ iProver source info
% 3.67/1.15
% 3.67/1.15 % git: date: 2026-07-19 20:42:38 +0200
% 3.67/1.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.67/1.15 % git: non_committed_changes: false
% 3.67/1.15
% 3.67/1.15 % ------ Parsing...% successful
% 3.67/1.15
% 3.67/1.15
% 3.67/1.15 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 3.67/1.15 %
% 3.67/1.15
% 3.67/1.15 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.67/1.15
% 3.67/1.15 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 3.67/1.15 gs_s sp: 86 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.67/1.15 % ------ Proving...
% 3.67/1.15 % ------ Problem Properties
% 3.67/1.15
% 3.67/1.15 %
% 3.67/1.15 % clauses 182
% 3.67/1.15 % conjectures 179
% 3.67/1.15 % EPR 182
% 3.67/1.15 % Horn 104
% 3.67/1.15 % unary 0
% 3.67/1.15 % binary 91
% 3.67/1.15 % lits 487
% 3.67/1.15 % lits eq 0
% 3.67/1.15 % fd_pure 0
% 3.67/1.15 % fd_pseudo 0
% 3.67/1.15 % fd_cond 0
% 3.67/1.15 % fd_pseudo_cond 0
% 3.67/1.15 % AC symbols 0
% 3.67/1.15
% 3.67/1.15 % ------ Schedule EPR non Horn non eq is on
% 3.67/1.15
% 3.67/1.15 % ------ no equalities: superposition off
% 3.67/1.15
% 3.67/1.15 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.67/1.15
% 3.67/1.15
% 3.67/1.15 % ------
% 3.67/1.15 % Current options:
% 3.67/1.15 % ------
% 3.67/1.15
% 3.67/1.15
% 3.67/1.15 %
% 3.67/1.15
% 3.67/1.15 % ------ Proving...
% 3.67/1.15 %
% 3.67/1.15
% 3.67/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.67/1.15
% 3.67/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.67/1.16
% 3.67/1.16
%------------------------------------------------------------------------------